Zusammenfassung für den Vortrag am 05.11.2021 (15:00 Uhr)

Arbeitsgemeinschaft ANGEWANDTE ANALYSIS

Annika Bach (Sapienza Università di Roma)
Fluctuation estimates for the blow-up formula in stochastic homogenisation of partitions

This talk is concerned with quantitative estimates in the context of stochastic homogenisation of

random integral functionals defined on finite partitions. Assuming the integrand to be stationary,

the techniques to determine the homogenised limiting functional in terms of Γ-convergence are by

now quite well established. Here the homogenised limiting integrand is obtained via a blow-up

formula by solving minmisation problems on larger and larger cubes. In this talk we show that the

cubes in these minimisation problems can actually be replaced by almost flat hyperrectangles and

we explain how to control quantitatively the fluctuation of the corresponding blow-up formulas.

This is joint work with Matthias Ruf (EPFL).